112FinalASolnsW08

# 112FinalASolnsW08 - Math 112(Calculus I Final Exam Form A...

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Unformatted text preview: Math 112 (Calculus I) Final Exam Form A KEY Multiple Choice. Fill in the answer to each problem on your scantron. Make sure your name, section and instructor is on your scantron. 1. d dx Z 4 x 3 t 3 √ 1 + t 5 dt = a) 256 x 3 √ 1 + 1024 x 5 b) 256 x 3 √ 1 + 1024 x 5- 27 √ 244 c) 64 x 3 √ 1 + 1024 x 5 d) 4 x 3 √ 1 + x 5 e) 4 x 3 √ 1 + x 5- 27 √ 244 f) x 3 √ 1 + x 5 Solution: a) 2. Z 2 √ 3 √ 5 z (4 + z 2 ) 3 / 2 dz = a)- 1 7 b)- 1 12 c) Does not exist. d) 1 12 e) 1 7 f) 1 4 g) None of the above. Solution: d) 3. Find the area of the largest rectangle that can be inscribed in a right triangle with legs of lengths 3 cm and 4 cm if two sides of the rectangle lie along the legs. (All answers are in square cm.) a) 1 b) 1 3 c) 2 d) 3 e) 9 2 f) There is no largest rectan- gle. g) None of the above. Solution: d) 4. lim x → 4 4- x | 4- x | = a) b) 1 c)-1 d) ∞ e)-∞ f) Does not exist. g) None of the above. Solution: f) 5. We say lim x → a f ( x ) = L if a) For every > 0 there exists a δ > 0 such that if 0 < | x- a | < δ , then | f ( x )- L | < . b) There exists > 0 such that for every δ > 0 such that if 0 < | x- a | < δ , then | f ( x )- L | < . c) For some > 0 there exists a δ > 0 such that if 0 < | x- a | < δ , then | f ( x )- L | < . d) For every > 0 and for every δ > 0, if 0 < | x- a | < δ , then | f ( x )- L | < . e) For every δ > 0 there exists a > 0 such that if 0 < | x- a | < δ , then | f ( x )- L | < ....
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112FinalASolnsW08 - Math 112(Calculus I Final Exam Form A...

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